Question 999024: A number consists of 2 digits whose sum is 11 . If the digits are interchanged the value of the number decreases by 45 . Find the number. Answer by fractalier(6550) (Show Source):
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83 becomes 38 and decreases by 45...
Otherwise cal the tens digit x and the ones digit y.
x + y = 11
(10x+y)-(10y+x) = 45
9x - 9y = 45 or
x - y = 5
x + y = 11
add the two equations and get
2x = 16
x = 8
y = 3
83